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Simplifying 5(2x + 5) + -1(4x + -1) = 44 Reorder the terms: 5(5 + 2x) + -1(4x + -1) = 44 (5 * 5 + 2x * 5) + -1(4x + -1) = 44 (25 + 10x) + -1(4x + -1) = 44 Reorder the terms: 25 + 10x + -1(-1 + 4x) = 44 25 + 10x + (-1 * -1 + 4x * -1) = 44 25 + 10x + (1 + -4x) = 44 Reorder the terms: 25 + 1 + 10x + -4x = 44 Combine like terms: 25 + 1 = 26 26 + 10x + -4x = 44 Combine like terms: 10x + -4x = 6x 26 + 6x = 44 Solving 26 + 6x = 44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 6x = 44 + -26 Combine like terms: 26 + -26 = 0 0 + 6x = 44 + -26 6x = 44 + -26 Combine like terms: 44 + -26 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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